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Finding the Fourth Proportional to 21,261.30, 31,891.96 and 9,560.85

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Solution

The fourth proportional to 21,261.30, 31,891.96 and 9,560.85 is: 14,341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.30 : 31,891.96 = 9,560.85 : x
  2. Step 2: Convert to fraction form
    21,261.30/31,891.96 = 9,560.85/x
  3. Step 3: Cross multiply
    21,261.30x = 31,891.96 × 9,560.85
  4. Step 4: Simplify right side
    21,261.30x = 304,914,138.12
  5. Step 5: Solve for x
    x = 304,914,138.12/21,261.30
  6. Step 6: Final answer
    x = 14,341.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.